Find the respective values of x, y and z.
A) \[{{100}^{o}},\text{ }{{80}^{o}},\text{ }{{100}^{o}}\]
B) \[{{100}^{o}},\text{ }{{100}^{o}},\text{ }{{80}^{ol}},\]
C) \[{{80}^{o}},{{100}^{o}},{{100}^{o}}\]
D) \[{{80}^{o}},{{80}^{o}},{{100}^{o}}\]
Correct Answer: B
Solution :
C is opposite to A. So, \[x={{100}^{o}}\] (Opposite angles property.) \[y={{100}^{o}}\] (Measure of angle corresponding to \[\angle x\].) \[z={{80}^{o}}\] (Since \[\angle y,\,\,\angle z\] is a linear pair)
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